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Finding the Third Proportional to 446,178.38 and 670,254.75

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Solution

The third proportional to 446,178.38 and 670,254.75 is: 1,006,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,178.38 : 670,254.75 = 670,254.75 : x
  2. Step 2: Convert to fraction form
    446,178.38/670,254.75 = 670,254.75/x
  3. Step 3: Cross multiply
    446,178.38x = 670,254.75 × 670,254.75
  4. Step 4: Simplify right side
    446,178.38x = 449,241,429,897.56
  5. Step 5: Solve for x
    x = 449,241,429,897.56/446,178.38
  6. Step 6: Final answer
    x = 1,006,865.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.